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This article relies largely or entirely on a single source. Relevant discussion may be found on the talk page. Please help improve this article by introducing citations to additional sources. Find sources: "Deformation ring" – news · newspapers · books · scholar · JSTOR (May 2024) |
In mathematics, a deformation ring is a ring that controls liftings of a representation of a Galois group from a finite field to a local field. In particular for any such lifting problem there is often a universal deformation ring that classifies all such liftings, and whose spectrum is the universal deformation space.
A key step in Wiles's proof of the modularity theorem was to study the relation between universal deformation rings and Hecke algebras.
See also
[edit]References
[edit]- Cornell, Gary; Silverman, Joseph H.; Stevens, Glenn, eds. (1997), Modular forms and Fermat's last theorem, Berlin, New York: Springer-Verlag, ISBN 978-0-387-94609-2, MR 1638473
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